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The Heat Kernel on a Principal Bundle

J. J. Duistermaat

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Abstract

We now use that the operator Q = D 2 acts on sections of the vector bundle E ⊗ L , where E is the bundle (5.7), associated to the principal Spin c (2 n )- bundle Spin c F M . The covariant differentiation of sections of this bundle is defined by (3.45). These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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What this paper is about

We now use that the operator Q = D 2 acts on sections of the vector bundle E ⊗ L , where E is the bundle (5.7), associated to the principal Spin c (2 n )- bundle Spin c F M . The covariant differentiation of sections of this bundle is defined by (3.45). These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Available abstract

We now use that the operator Q = D 2 acts on sections of the vector bundle E ⊗ L , where E is the bundle (5.7), associated to the principal Spin c (2 n )- bundle Spin c F M . The covariant differentiation of sections of this bundle is defined by (3.45). These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Key concepts: Principal bundle, Bundle, Frame bundle, Vector-valued differential form, Vector bundle, Associated bundle, Tautological line bundle, Normal bundle

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